Hardy inequalities and dynamic instability of singular Yamabe metrics
Adriano Pisante (2006)
Annales de l'I.H.P. Analyse non linéaire
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Adriano Pisante (2006)
Annales de l'I.H.P. Analyse non linéaire
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N. Ghoussoub, X. S. Kang (2004)
Annales de l'I.H.P. Analyse non linéaire
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Josef Daněček, Eugen Viszus (2010)
Mathematica Bohemica
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We discuss the interior Hölder everywhere regularity for minimizers of quasilinear functionals of the type whose gradients belong to the Morrey space .
Simon Haller, Günther Hörmann (2008)
Publications de l'Institut Mathématique
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Pavel Krejčí, Lucia Panizzi (2011)
Applications of Mathematics
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Inspired by a problem in steel metallurgy, we prove the existence, regularity, uniqueness, and continuous data dependence of solutions to a coupled parabolic system in a smooth bounded 3D domain, with nonlinear and nonhomogeneous boundary conditions. The nonlinear coupling takes place in the diffusion coefficient. The proofs are based on anisotropic estimates in tangential and normal directions, and on a refined variant of the Gronwall lemma.